chris215
  • chris215
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Mathematics
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SOLVED
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chestercat
  • chestercat
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Michele_Laino
  • Michele_Laino
Hint: please apply the \(mean\;value\;theorem\) or the \(theorem\;of\;Lagrange\)
mathmale
  • mathmale
At this level of calculus, just focus on applying the Mean Value Theorem. Have you read about this Theorem? Have you seen examples of its application? If y ou'll look up the M. Value Thm., you should be able to learn how to complete the sentence you posted in your problem statement.
mathmale
  • mathmale
Hint: that problem statement has to do with two different expressions for "slope" being equal to one another.

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More answers

chris215
  • chris215
Would I use f'(c)=f(b)- f(a)/b-a ?
ganeshie8
  • ganeshie8
Yes
chris215
  • chris215
ok I'm not too sure how I would apply the question to that though
mathmale
  • mathmale
Your b=4 and your a=-1. Be certain you understand where those values come from. You are given the function f(x). Evaluate this function at both a and b. Write the results as f(-1) = and f(4) = .
chris215
  • chris215
I got f '(c) = 0
anonymous
  • anonymous
do u need help r u still confused
chris215
  • chris215
idk if that answer is right or not
chris215
  • chris215
I plugged in b=4 and a=-1 and got 0
mathmale
  • mathmale
You are given the following: a=-1, b=4, f(a)=-3 and f(b)=12. The Mean Value Theorem equation follows:\[f '(c)=\frac{ f(b)-f(a) }{ b-a }\]
mathmale
  • mathmale
Please substitute all of these givens into the right side of the MVT equation, and calculate the value of f '(c) that way.

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